-0.8(z+6)=-0.3(z-0.5)

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Solution for -0.8(z+6)=-0.3(z-0.5) equation: 


Simplifying
-0.8(z + 6) = -0.3(z + -0.5)

Reorder the terms:
-0.8(6 + z) = -0.3(z + -0.5)
(6 * -0.8 + z * -0.8) = -0.3(z + -0.5)
(-4.8 + -0.8z) = -0.3(z + -0.5)

Reorder the terms:
-4.8 + -0.8z = -0.3(-0.5 + z)
-4.8 + -0.8z = (-0.5 * -0.3 + z * -0.3)
-4.8 + -0.8z = (0.15 + -0.3z)

Solving
-4.8 + -0.8z = 0.15 + -0.3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '0.3z' to each side of the equation.
-4.8 + -0.8z + 0.3z = 0.15 + -0.3z + 0.3z

Combine like terms: -0.8z + 0.3z = -0.5z
-4.8 + -0.5z = 0.15 + -0.3z + 0.3z

Combine like terms: -0.3z + 0.3z = 0.0
-4.8 + -0.5z = 0.15 + 0.0
-4.8 + -0.5z = 0.15

Add '4.8' to each side of the equation.
-4.8 + 4.8 + -0.5z = 0.15 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + -0.5z = 0.15 + 4.8
-0.5z = 0.15 + 4.8

Combine like terms: 0.15 + 4.8 = 4.95
-0.5z = 4.95

Divide each side by '-0.5'.
z = -9.9

Simplifying
z = -9.9

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